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Finding the Third Proportional to 166,668.75 and 254,103.75

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Solution

The third proportional to 166,668.75 and 254,103.75 is: 387,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,668.75 : 254,103.75 = 254,103.75 : x
  2. Step 2: Convert to fraction form
    166,668.75/254,103.75 = 254,103.75/x
  3. Step 3: Cross multiply
    166,668.75x = 254,103.75 × 254,103.75
  4. Step 4: Simplify right side
    166,668.75x = 64,568,715,764.06
  5. Step 5: Solve for x
    x = 64,568,715,764.06/166,668.75
  6. Step 6: Final answer
    x = 387,407.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.